That Knuth quote by itself is interesting. Perhaps he is not suggesting that popular ideas likely to be are wrong. Instead maybe he is saying that to think and develop ideas like Knuth's one needs a certain amount of irreverance for what is popular. (Undue?) reverance is rampant in the software industry, in my opinion. Would Knuth agree?
I hope that quote doesn't become popular, because it may invalidate itself.
Actually reasoning about stuff when stuff can be reasoned about, and considering most opinions to be superfluous nonsense is the right direction. Opinions follow abstract models. You can pretty much find a computational or mathematical model, throw some nouns and verbs on it, and bam, you've got an opinion that has nothing to do with reality.